'Alvaro L. Mart'inez

activity

20172026

collaborators

3 papers

math.RT2026

A field-independent filtration of plethystic modules for $SL_{2} (F)$ that categorifies a product rule for the Cartan subalgebra of $U_{q} (sl_{2})$

Álvaro Gutiérrez, Álvaro L. Martínez, Michał Szwej +1

We lift a product rule in the Cartan subalgebra of quantum $sl_{2}$ to a filtration of the plethystic representation $Δ^{(n, m)} Sym^{d} E$ of the affine group scheme…

math.RT2025

Modular isomorphisms of $SL_{2} (F)$ -plethysms for Weyl modules labelled by hook partitions

Álvaro Gutiérrez, Álvaro L. Martínez, Michał Szwej +1

Let $Δ^{λ}$ be the Weyl functor for the partition $λ$ and let $E$ be the natural $2$ -dimensional representation of $SL_{2} (F)$ , where $F$ is an arbitrary fie…

math.GR2017

Small-dimensional representations of algebraic groups of type $A_{l}$

Álvaro L. Martínez

For $G$ an algebraic group of type $A_{l}$ over an algebraically closed field of characteristic $p$ , we determine all irreducible rational representations of $G$ in defining characte…

A field-independent filtration of plethystic modules for SL2​(F) that categorifies a product rule for the Cartan subalgebra of Uq​(sl2​)

Modular isomorphisms of SL2​(F)-plethysms for Weyl modules labelled by hook partitions

Small-dimensional representations of algebraic groups of type Al​

A field-independent filtration of plethystic modules for $SL_{2} (F)$ that categorifies a product rule for the Cartan subalgebra of $U_{q} (sl_{2})$

Modular isomorphisms of $SL_{2} (F)$ -plethysms for Weyl modules labelled by hook partitions

Small-dimensional representations of algebraic groups of type $A_{l}$